Table 4 Mode of 100 independent replications (\({\hat{K}}_{\alpha }\)), and proportion of times true number of communities correctly estimated \(\big (\text {pr}({\hat{K}}=K_0)\big )\) shown in parenthesis for different choice of \(\alpha\), \(\varvec{P}\), and \((n, n_1, n_2)\) for DCBM
From: Selecting a significance level in sequential testing procedures for community detection
\((n, n_1, n_2, K_0)\) | Signal | \(\alpha =0.01\) | \(\alpha =0.05\) | \(\alpha =0.1\) | \(\alpha =0.2\) |
|---|---|---|---|---|---|
(300, 100, 200, 2) | S | 2 (0.70) | 2 (0.70) | 2 (0.75) | 2 (0.78) |
| Â | W | 1 (0.20) | 1 (0.25) | 1 (0.45) | 1 (0.45) |
(600, 200, 400, 2) | S | 2 (0.25) | 2 (0.35) | 2 (0.40) | 2 (0.55) |
| Â | W | 1 (0.03) | 1 (0.05) | 1 (0.15) | 2 (0.50) |